5 papers
Weighted surfaces with maximal Picard number
Louis Esser, Jennifer Li
An algorithm due to Shioda computes the Picard number for certain surfaces which are defined by a single equation with exactly four monomials, called Delsarte surfaces. We consider…
Complexity one varieties are cluster type
Joshua Enwright, Jennifer Li, José Ignacio Yáñez
The complexity of a Calabi-Yau pair is an invariant that relates the dimension of , the rank of the group of divisors, and the coefficients of . If the complexity is…
The Mordell-Schinzel conjecture for cubic diophantine equations
János Kollár, Jennifer Li
Building on the works of Mordell (1952) and Schinzel (2015), we prove that cubic diophantine equations have infinitely many solutions.
Hypersurfaces with large automorphism groups
Louis Esser, Jennifer Li
We find sharp upper bounds on the order of the automorphism group of a hypersurface in complex projective space in every dimension and degree. In each case, we prove that the hyper…
Rational surfaces with a non-arithmetic automorphism group
Jennifer Li, Sebastián Torres
In arXiv:1008.3825, Totaro gave examples of a K3 surface such that its automorphism group is not commensurable with an arithmetic group, answering a question of Mazur. We give exam…